115763260354560 has 4212 divisors, whose sum is σ = 534240555626232. Its totient is φ = 23963930984448.

The previous prime is 115763260354529. The next prime is 115763260354591. The reversal of 115763260354560 is 65453062367511.

115763260354560 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 6 + 3 + 26 + 0 + 3 + 54 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (115763260354529) and next prime (115763260354591).

It is a tau number, because it is divible by the number of its divisors (4212).

It is a super-2 number, since 2×115763260354560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 115763260354497 and 115763260354506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 2184212459494 + ... + 2184212459546.

Almost surely, 2^{115763260354560} is an apocalyptic number.

115763260354560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115763260354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267120277813116).

115763260354560 is an abundant number, since it is smaller than the sum of its proper divisors (418477295271672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115763260354560 is an frugal number, since it uses more digits than its factorization.

115763260354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 115763260354560 in words is "one hundred fifteen trillion, seven hundred sixty-three billion, two hundred sixty million, three hundred fifty-four thousand, five hundred sixty".